Pith Number

pith:57OSFQI2

pith:2016:57OSFQI2R3KGUFJEXFWBJWCZVL

not attested not anchored not stored refs pending

Stochastic Porous Media Equation on General Measure Spaces with Increasing Lipschitz Nonlinearties

Michael R\"ockner, Weina Wu, Yingchao Xie

arxiv:1606.03001 v3 · 2016-06-09 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57OSFQI2R3KGUFJEXFWBJWCZVL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T05:55:54.807838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efdd22c11a8ed46a1524b96c14d859aafbdd829ca1b9b996eae99e2ca1f2a8f6

Aliases

arxiv: 1606.03001 · arxiv_version: 1606.03001v3 · doi: 10.48550/arxiv.1606.03001 · pith_short_12: 57OSFQI2R3KG · pith_short_16: 57OSFQI2R3KGUFJE · pith_short_8: 57OSFQI2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/57OSFQI2R3KGUFJEXFWBJWCZVL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: efdd22c11a8ed46a1524b96c14d859aafbdd829ca1b9b996eae99e2ca1f2a8f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e2070cf8b21cf6e49f9e4dc199ed1d2195dfb29fcff674fe873f039129764d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-09T15:36:25Z",
    "title_canon_sha256": "1f10d63f7a9cfac7af6eb817648b9249a6ac9e515ab216dcc5423dba83702a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03001",
    "kind": "arxiv",
    "version": 3
  }
}